On the design of algebraic flux correction schemes for quadratic finite elements

DOI10.1016/j.cam.2007.04.045zbMath1143.65092OpenAlexW2005379522MaRDI QIDQ930699

Dmitri Kuzmin

Publication date: 1 July 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.045

zbMATH Keywords

finite elementsnumerical examplesdiscrete maximum principle\(M\)-matrix propertyflux correction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05)

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Cites Work

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• On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection
• Discrete maximum principle for linear parabolic problems solved on hybrid meshes
• Aspects of conservation in finite element flow computations
• Compatibility between finite volumes and finite elements using solutions of shallow water equations for substance transport

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